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Simplifying 36 + -6w + -3 = 5w + 15 + -3w Reorder the terms: 36 + -3 + -6w = 5w + 15 + -3w Combine like terms: 36 + -3 = 33 33 + -6w = 5w + 15 + -3w Reorder the terms: 33 + -6w = 15 + 5w + -3w Combine like terms: 5w + -3w = 2w 33 + -6w = 15 + 2w Solving 33 + -6w = 15 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 33 + -6w + -2w = 15 + 2w + -2w Combine like terms: -6w + -2w = -8w 33 + -8w = 15 + 2w + -2w Combine like terms: 2w + -2w = 0 33 + -8w = 15 + 0 33 + -8w = 15 Add '-33' to each side of the equation. 33 + -33 + -8w = 15 + -33 Combine like terms: 33 + -33 = 0 0 + -8w = 15 + -33 -8w = 15 + -33 Combine like terms: 15 + -33 = -18 -8w = -18 Divide each side by '-8'. w = 2.25 Simplifying w = 2.25
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